Results 31 to 40 of about 566,161 (272)
New theoretical results and applications on conformable fractional Natural transform
In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour +3 more
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Dynamic cobweb models with conformable fractional derivatives
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Martin Bohner, Veysel Fuat Hatipoğlu
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In this paper, the generalized (3+1)-dimensional nonlinear Sasa–Satsuma model with conformable fractional derivative using the new Kudryashov approach is considered to find a class of novel exact solutions in optical fibers.
Muhammad Amin S. Murad +4 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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Symmetric Conformable Fractional Derivative of Complex Variables [PDF]
It is well known that the conformable and the symmetric differential operators have formulas in terms of the first derivative. In this document, we combine the two definitions to get the symmetric conformable derivative operator (SCDO). The purpose of this effort is to provide a study of SCDO connected with the geometric function theory.
Rabha W. Ibrahim +2 more
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In this paper, we establish several existence and uniqueness results of solutions for initial value problems of nonlinear fractional delayed differential equations in the sense of conformable fractional derivative.
WANG Sen, JIANG Wei
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The Fractional Differential Equations with Uncertainty by Conformable Derivative
We provide a fractional order fuzzy fractional differential equation q ∈ (0, 1]. A fuzzy fractional integral and a fuzzy conformable derivative are shown and proved. To prove fuzzy solutions for fractional differential equations with fuzzy beginning values and deterministic or fuzzy functions, two alternative techniques are used.
Atimad Harir +2 more
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Exact solutions of fractional partial differential equation systems with conformable derivative [PDF]
Main goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known ...
Özkan, O. +3 more
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Consensus of Multiagent Systems Described by Various Noninteger Derivatives
In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio +4 more
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A new definition of conformable fractional derivative on arbitrary time scales
In this paper, a new kind of conformable fractional derivative on arbitrary time scales is introduced. The basic conformable derivative rules are proved.
Mohamad Rafi Segi Rahmat
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